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Zeitschriftenartikel:

W. Auzinger, O. Koch, E. Weinmüller:
"Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems";
SIAM Journal on Numerical Analysis, 42 (2005), S. 2366 - 2386.



Kurzfassung englisch:
We discuss an a-posteriori error estimate for the numerical solution of boundary value problems for nonlinear systems of ordinary differential equations with a singularity of the first kind. The estimate for the global error of an approximation obtained by collocation with piecewise polynomial functions is based on the defect correction principle. We prove that for collocation methods which are not superconvergent, the error estimate is asymptotically correct. As an essential prerequisite we derive convergence results for collocation methods applied to nonlinear singular problems.


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1137/S0036142902418928

Online-Bibliotheks-Katalog der TU Wien:
http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC06587792

Elektronische Version der Publikation:
http://www.math.tuwien.ac.at/~winfried/papers/anumpp1302.pdf


Erstellt aus der Publikationsdatenbank der Technischen Universitšt Wien.